A New Approximation of the Gamma Function by Expanding the Windschitl's formula

作者：Wang, Hongzeng^*; Zhang, Qingling

来源：Results in Mathematics, 2017, 72(4): 2227-2239.

DOI：10.1007/s00025-017-0751-z

• Stirling's formula
• Windschitl's formula
• rate of convergence
• gamma function

In this paper, the authors construct a new approximation of the factorial function and a double inequality for the gamma function which are based on Windschitl's formula. Moreover, for demonstrating the superiority of our new series over Windschitl's formula, Nemes' formula and Mortici's formula, some numerical computations are given.

• 出版日期2017-12
• 单位东北大学